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We prove that, a suitable correlation between the system parameters can trigger topological phase transition and flat bands in a multi strand Creutz ladder network, when a staggered second neighbor interaction is included along the x axis.…

量子气体 · 物理学 2022-02-09 Amrita Mukherjee , Atanu Nandy , Shreekantha Sil , Arunava Chakrabarti

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transitions, the quantum Hall effect, light propagation…

混沌动力学 · 物理学 2015-12-07 Sergej Flach

We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the non-interacting case, due to Wannier-Stark localization, the single-particle wave…

无序系统与神经网络 · 物理学 2019-03-20 M. Schulz , C. A. Hooley , R. Moessner , F. Pollmann

We present a method for realizing various zero-energy localized states on disorder-free hypercube graphs. Previous works have already indicated that disorder is not essential for observing localization phenomena in noninteracting systems,…

无序系统与神经网络 · 物理学 2025-07-02 Ievgen I. Arkhipov , Fabrizio Minganti , Franco Nori

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

光学 · 物理学 2017-07-12 Hamidreza Ramezani

Disordered systems provide paradigmatic instances of ergodicity breaking and localization phenomena. Here we explore the dynamics of excitations in a system of Rydberg atoms held in optical tweezers. The finite temperature produces an…

We demonstrate that a flat-band state in a quasi-one-dimensional rhombic lattice is robust in the presence of external drivings along the lattice axis. The lattice was formed by periodic arrays of evanescently coupled optical waveguides,…

光学 · 物理学 2017-06-06 Sebabrata Mukherjee , Robert R. Thomson

We present a numerical study of Anderson localization in disordered non-Hermitian lattice models with flat bands. Specifically we consider one-dimensional stub and two-dimensional kagome lattices that have a random scalar potential and a…

无序系统与神经网络 · 物理学 2023-01-12 Sangbum Kim , Kihong Kim

Quantum transport and localization are fundamental concepts in condensed matter physics. It is commonly believed that in one-dimensional systems, the existence of mobility edges is highly dependent on disorder. Recently, there has been a…

Disorder-free localization is a novel mechanism for ergodicity breaking which can occur in interacting quantum many-body systems such as lattice gauge theories (LGTs). While the nature of the quantum localization transition (QLT) is still…

无序系统与神经网络 · 物理学 2022-10-20 Nilotpal Chakraborty , Markus Heyl , Petr Karpov , Roderich Moessner

We demonstrate a nonradiative flat band for spoof surface plasmon polaritons bounded on a structured surface with Lieb lattice symmetry in the terahertz regime. First, we theoretically derive the dispersion relation of spoof plasmons in a…

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we…

强关联电子 · 物理学 2020-10-20 Wei-Wei Yang , Lan Zhang , Xue-Ming Guo , Yin Zhong

We study the localization properties of generalized, two- and three-dimensional Lieb lattices, $\mathcal{L}_2(n)$ and $\mathcal{L}_3(n)$, $n= 1, 2, 3$ and $4$, at energies corresponding to flat and dispersive bands using the transfer matrix…

无序系统与神经网络 · 物理学 2021-08-03 Jie Liu , Xiaoyu Mao , Jianxin Zhong , Rudolf A. Römer

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

量子气体 · 物理学 2023-07-06 Chenyue Guo , Zi Cai

The localization of waves in non-periodic media is a universal phenomenon, occurring in a variety of different quantum and classical systems, including condensed-matter, Bose-Einstein condensates in optical lattices, quantum chaotic…

无序系统与神经网络 · 物理学 2010-12-09 Y. Lahini , R. Pugatch , F. Pozzi , M. Sorel , R. Morandotti , N. Davidson , Y. Silberberg

In this work we first discuss systematically three general approaches to construct a non-Hermitian flat band, defined by its dispersionless real part. They resort to, respectively, spontaneous restoration of non-Hermitian particle-hole…

光学 · 物理学 2018-03-23 Li Ge

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

无序系统与神经网络 · 物理学 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

We describe a nonlinear kagome lattice with nonlinear dynamics described by Klein-Gordon interactions with a scalar unknown at each node, such as might occur in a nonlinear electrical lattice. We show that the dispersion relation has three…

斑图形成与孤子 · 物理学 2026-05-20 Jonathan AD Wattis , Pilar R Gordoa , Andrew Pickering

The existence of flat bands is generally thought to be physically possible only for dimensions larger than one. However, by exciting a system with different orthogonal states this condition can be reformulated. In this work, we demonstrate…

光学 · 物理学 2019-07-10 Gabriel Cáceres-Aravena , Rodrigo A. Vicencio

We identify the many-body counterpart of flat bands, which we call many-body caging, as a general mechanism for non-equilibrium phenomena such as a novel type of glassy eigenspectrum order and many-body Rabi oscillations in the time domain.…

量子气体 · 物理学 2025-04-18 Tom Ben-Ami , Markus Heyl , Roderich Moessner